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Local limit theorems for sums of identically distributed random vectors. I

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Mathematical transactions of the Academy of Sciences of the Lithuanian SSR Aims and scope Submit manuscript

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Literature cited

  1. I. A. Ibragimov and Yu. V. Linik, Independent or Stationarily Related Random Quantities [in Russian], Nauka, Moscow (1965).

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  2. A. Bikyalis, “Inequalities for multidimensional characteristic functions,” Litovsk. Matem. Sbornik,1, 5–12 (1970).

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  3. C. G. Esseen, “On the remainder term in the central limit theorem,” Arkiv for Math.,8, No. 2, 7–15 (1969).

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  4. W. H. Young, “On multiple integration by parts and second theorem of mean,” Proc. London Math. Soc., Ser. Second,16, 273–293 (1918).

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Authors and Affiliations

  1. V. Kapsukas Vil'nius State University, USSR

    A. Karoblis

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  1. A. Karoblis
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Translated from Litovskii Matematicheskii Sbornik, Vol. 13, No. 3, pp. 101–112, July–September, 1973.

In conclusion I wish to express my deep gratitude to A. Bikyalis for formulating the problem and for his valuable advice.

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Karoblis, A. Local limit theorems for sums of identically distributed random vectors. I. Lith Math J 13, 419–427 (1973). https://doi.org/10.1007/BF01563433

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  • DOI: https://doi.org/10.1007/BF01563433

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